A New Second-Order Iteration Method for Solving Nonlinear Equations
Joint Authors
Kang, Shin Min
Kwun, Young Chel
Rafiq, Arif
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-09
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
We establish a new second-order iteration method for solving nonlinear equations.
The efficiency index of the method is 1.4142 which is the same as the Newton-Raphson method.
By using some examples, the efficiency of the method is also discussed.
It is worth to note that (i) our method is performing very well in comparison to the fixed point method and the method discussed in Babolian and Biazar (2002) and (ii) our method is so simple to apply in comparison to the method discussed in Babolian and Biazar (2002) and involves only first-order derivative but showing second-order convergence and this is not the case in Babolian and Biazar (2002), where the method requires the computations of higher-order derivatives of the nonlinear operator involved in the functional equation.
American Psychological Association (APA)
Kang, Shin Min& Rafiq, Arif& Kwun, Young Chel. 2013. A New Second-Order Iteration Method for Solving Nonlinear Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-475537
Modern Language Association (MLA)
Kang, Shin Min…[et al.]. A New Second-Order Iteration Method for Solving Nonlinear Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-475537
American Medical Association (AMA)
Kang, Shin Min& Rafiq, Arif& Kwun, Young Chel. A New Second-Order Iteration Method for Solving Nonlinear Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-475537
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475537